If you really want skywards miles then a better optionnis to buy starwood (spg) points if you have an SPG account.

On spg you can buy 1000 star points for $35
EK wants $40 for 1000 skywards miles

Normally star points transfer to skywards miles at 1:1

BUT

If you have 20000 starpoints you can transfer them to skywards and you can get a 5000 skywards bonus

I.e 20000 star points becomes 25000 skywards.

Moreover Starpoints are frequently on offer for a 25% discount which makes it a no brainer.

The only catch is that it takes a few days to transfer from starpoints on spg to skywards on EK once the request is made.